LE BLANC MESNIL, France — Bands of youths roaming Parisian suburbs burned more than 500 vehicles and hurled stones at police as rioting — the nation’s worst in a decade — entered its second week Friday and spread for the first time to other parts of France.

The violence prompted the U.S. and Russian governments to advise citizens visiting Paris to steer clear of its impoverished outlying neighborhoods, where authorities were struggling to regain control.

A savage assault this week on a bus passenger highlighted the dangers.

Attackers doused the woman, in her 50s and on crutches, with an inflammable liquid and set her afire as she tried to get off a bus in the suburb of Sevran, judicial officials said. The bus had been forced to stop because of burning objects in its path. She was rescued by the driver and hospitalized with severe burns.

With the unrest growing beyond the French capital, gangs burned five cars in the eastern city of Dijon and 11 in the southern city of Marseille.

A national police spokesman, Patrick Hamon, said there appeared to be no coordination among gangs in different areas. But he said youths in individual neighborhoods were communicating by cell phone text messages or e-mails — arranging meetings and warning each other about police operations.

The violence started Oct. 27 after the accidental electrocution of two teenagers who believed police were chasing them in the Seine-Saint-Denis region, dominated by low-income housing projects.

Since then, riots have swelled into a broader challenge against the French state and its security forces.

The violence has exposed deep discontent in neighborhoods where African and Muslim immigrants and their French-born children are trapped by poverty, unemployment, racial discrimination, crime, poor education and housing.

Across the Paris region, the burned remains of at least 520 cars littered streets, an increase from previous nights. Five police officers were lightly injured by youths throwing stones or bottles, the Interior Ministry said.

At a depot in Trappes, to the southwest, 27 buses were incinerated, officials said.

There were “few direct clashes” with security forces late Thursday and early Friday, however, no bullets fired at police, and far fewer large groups of rioters, said Jean-Francois Cordet, the top government official in Seine-Saint-Denis.

Instead, Cordet said, the unrest in Seine-Saint-Denis was led by “numerous small and highly mobile groups” that burned 187 vehicles and five buildings, including three warehouses.

The commuter train line linking Paris to Charles de Gaulle airport ran limited service Friday after two trains were targeted Wednesday night.

The U.S. Embassy called the protests “extremely violent” and warned travelers against taking trains to the airport because they pass through the troubled area.

The Foreign Ministry said it was concerned that foreign media coverage was exaggerating the situation. “I don’t have the feeling that foreign tourists in Paris are in any way placed in danger by these events,” ministry spokesman Jean-Baptiste Mattei said, adding that officials were “sometimes a bit surprised” by the foreign coverage.

Still, the violence has alarmed the government of President Jacques Chirac, whose calls for calm have gone unheeded.

“This is the first time (suburban violence) has lasted so long and the government appears taken aback at the magnitude,” said Pascal Perrineau, director of the Center for Study of French Political Life.

The unrest erupted with youths angered over the deaths of Bouna Traore, 15, and Zyed Benna, 17, who were electrocuted when they hid in a power substation in the suburb of Clichy-sous-Bois.

Traore’s brother, Siyakah Traore, called for protesters to “calm down and stop ransacking everything.”

“This is not how we are going to have our voices heard,” he told RTL radio, adding his voice to neighborhood groups working to stop the violence.

Dozens of residents and community leaders were stepping in to defuse tensions, with some walking between rioters and police to urge youths to back down.

Abderrhamane Bouhout, head of the Bilal mosque in Clichy-sous-Bois, said he had enlisted 50 youths to try stop the violence. “We’ve had positive results,” he said.

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